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Finding the Fourth Proportional to 429.61, 592.83 and 282.44

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Solution

The fourth proportional to 429.61, 592.83 and 282.44 is: 389.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.61 : 592.83 = 282.44 : x
  2. Step 2: Convert to fraction form
    429.61/592.83 = 282.44/x
  3. Step 3: Cross multiply
    429.61x = 592.83 × 282.44
  4. Step 4: Simplify right side
    429.61x = 167,438.91
  5. Step 5: Solve for x
    x = 167,438.91/429.61
  6. Step 6: Final answer
    x = 389.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.